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3 years ago

In 2012, the population of a city was 6.29 million. The exponential growth rate was

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

9514 1404 393

Answer:

a) P(t) = 6.29e^(0.0241t)

b) P(6) ≈ 7.3 million

c) 10 years

d) 28.8 years

Step-by-step explanation:

a) You have written the equation.

P(t) = 6.29·e^(0.0241·t)

b) 2018 is 6 years after 2012.

P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million

c) We want t for ...

8 = 6.29·e^(0.0241t)

ln(8/6.29) = 0.0241t

t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years

d) Along the same lines as the calculation in part (c), doubling time is ...

t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years

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Yuliya22 [10]

Answer is C!

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3 years ago

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Murrr4er [49]

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

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1 mile = 5280 feets

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3 years ago

1.) -9x+8 ≤ 80 * A. x ≥ -8 B. x ≤ -8 C. x ≥ 8 D. x ≤ 8

Firlakuza [10]

Answer:

$x\geq -8$

Step-by-step explanation:

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3 years ago

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Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i

jeka94

Let $a,b,c$ be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

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$\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16$

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